Hello there!
To start, you must first know any kind of formula involving the height and other dimensions of the cone (i.e the radius). To solve for the height, I will be using the volume formula of a cone to solve for its height, which is represented by the variable of h.
The volume formula:
V=1/3[tex] \pi [/tex]r^2h
To solve for h, or in other words, isolate h, the first thing I would suggest you do is to multiply by 3 to get rid of the fraction, 1/3. This would result in:
3V=[tex] \pi [/tex]r^2h
Then, divide [tex] \pi [/tex]r^2 from both sides to isolate h. This will then result in your answer, the formula to find the height of a cone is:
h= 3V/[tex] \pi [/tex]r^2